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345794076 = 2233171271483
BaseRepresentation
bin10100100111000…
…110011000011100
3220002200011022000
4110213012120130
51202010402301
654151322300
711366125665
oct2447063034
9802604260
10345794076
11168212231
1297980390
13568429a4
1433cd436c
1520557786
hex149c661c

345794076 has 96 divisors (see below), whose sum is σ = 957358080. Its totient is φ = 107557632.

The previous prime is 345794063. The next prime is 345794083. The reversal of 345794076 is 670497543.

345794076 is a `hidden beast` number, since 3 + 4 + 579 + 4 + 0 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232431 + ... + 233913.

It is an arithmetic number, because the mean of its divisors is an integer number (9972480).

Almost surely, 2345794076 is an apocalyptic number.

345794076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345794076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478679040).

345794076 is an abundant number, since it is smaller than the sum of its proper divisors (611564004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

345794076 is a wasteful number, since it uses less digits than its factorization.

345794076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 345794076 is about 18595.5391424933. The cubic root of 345794076 is about 701.8955940864.

The spelling of 345794076 in words is "three hundred forty-five million, seven hundred ninety-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 127 153 204 254 306 381 459 508 612 762 918 1143 1483 1524 1836 2159 2286 2966 3429 4318 4449 4572 5932 6477 6858 8636 8898 12954 13347 13716 17796 19431 25211 25908 26694 38862 40041 50422 53388 58293 75633 77724 80082 100844 116586 151266 160164 188341 226899 233172 302532 376682 453798 565023 680697 753364 907596 1130046 1361394 1695069 2260092 2722788 3201797 3390138 5085207 6403594 6780276 9605391 10170414 12807188 19210782 20340828 28816173 38421564 57632346 86448519 115264692 172897038 345794076